Search a number
-
+
18203640 = 23357131667
BaseRepresentation
bin100010101110…
…0001111111000
31021020211200220
41011130033320
514130004030
61450100040
7310504560
oct105341770
937224626
1018203640
11a303734
12611a620
133a048b0
1425bbda0
1518e8a10
hex115c3f8

18203640 has 128 divisors (see below), whose sum is σ = 67253760. Its totient is φ = 3838464.

The previous prime is 18203639. The next prime is 18203657. The reversal of 18203640 is 4630281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 18203640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10087 + ... + 11753.

It is an arithmetic number, because the mean of its divisors is an integer number (525420).

Almost surely, 218203640 is an apocalyptic number.

18203640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18203640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33626880).

18203640 is an abundant number, since it is smaller than the sum of its proper divisors (49050120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18203640 is a wasteful number, since it uses less digits than its factorization.

18203640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 18203640 is about 4266.5723947919. The cubic root of 18203640 is about 263.0587463404.

It can be divided in two parts, 1820 and 3640, that added together give a triangular number (5460 = T104).

The spelling of 18203640 in words is "eighteen million, two hundred three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1667 1820 2184 2730 3334 3640 5001 5460 6668 8335 10002 10920 11669 13336 16670 20004 21671 23338 25005 33340 35007 40008 43342 46676 50010 58345 65013 66680 70014 86684 93352 100020 108355 116690 130026 140028 151697 173368 175035 200040 216710 233380 260052 280056 303394 325065 350070 433420 455091 466760 520104 606788 650130 700140 758485 866840 910182 1213576 1300260 1400280 1516970 1820364 2275455 2600520 3033940 3640728 4550910 6067880 9101820 18203640